The equation of a line L1 is y = 0.5x + p. The point A(2, -1) lies on L1. (a) Find the value of p. A second line, L2, is perpendicular to L1 and intersects L1 at point A. (b) Find the gradient of L2. (c) Find the equation of L2. Give your answer in the form y = mx + c. (d) Write your answer to part (c) in the form ax + by + d = 0, where a, b, d e Z.

The equation of a line L1 is y = 0.5x + p. The point A(2, -1) lies on L1. (a) Find the value of p. A second line, L2, is perpendicular to L1 and intersects L1 at point A. (b) Find the gradient of L2. (c) Find the equation of L2. Give your answer in the form y = mx + c. (d) Write your answer to part (c) in the form ax + by + d = 0, where a, b, d e Z.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 21E

See similar textbooks

Similar questions

Suppose that average annual income (in dollars) forthe years 1990 through 1999 is given by the linearfunction: I(x)=1,054x+23,286 , where x is thenumber of years after 1990. Which of the followinginterprets the slope in the context of the problem? a. As of 1990, average annual income was $23,286. b. In the ten-year period from 1990-1999, averageannual income increased by a total of $1,054. c. Each year in the decade of the 1990s, averageannual income increased by $1,054. d. Average annual income rose to a level of $23,286 bythe end of 1999.
A straight line has the equation 4x-3y+12=0? what is the gradient of the line? b)find the coordinates of the point where the lines crosses the x-axis?
The equation of a line L1L1 is 2x+3y=−5 Find the gradient of L1L1.
The equation of the line L1 is 2x+y=10. what is the gradient of L1
Find the gradient at that point on the curve of y=2x2 - 3x +1where x=1.5. For what value of x will the curve has zero gradient?
The straight line, L1, has the equation y=1/3x - 5 (a) Write down the y-intercept of L1. (b) Write down the gradient of L1. The line L2 is perpendicular to L1 and passes through the point A(2,4). (c) Find the gradient of L2. (d) Find the equation of L2, giving your answer in the form ax+by+d=0, where a,b,d
A roller coaster track follows the curve y =(x3 + 20x2 - 1500x) / 720, as shown in the diagram attached. What is the gradient of the curve at point A?
find the gradient of the line (BC) passing through the point B (-3,8) and C (1,-12)
The equation of the straight line L1 is y = 2x-3 a) write down the y-intercept of L1 b) write down the gradient of L1 The line L2 is parallel to L1 and passes through the point (0,3) c) write down the equation of L2 The line L3 is perpendicular to L1 and passes through the point (-2,6) d) write down the gradient of L3 e) find the equation of L3. Give your answer in the form ax+by+d=0, where a,b and d are integers
The graph below shows a curve, y = x^2 − 4 and the straight-line PQ which is tangent tothe curve at point A. Given that the gradient of the straight line is 2, find the coordinate of point A.
a) Given the linear equation 4x - 5y = 9 Calculate the x-intercept and the gradient. b) Given the linear equation 4x - 5y = 9. Calculate the y-intercept.
Newborn blue whales are approximately 24 feet long and weigh 3 tons. Young whales are nursed for 7 months, and by the time of weaning they often are 58 feet long and weigh 19 tons. Let L and W denote the length (in feet) and the weight (in tons), respectively, of a whale that is t months of age. (a) If L and t are linearly related, express L in terms of t. (b) What is the daily increase in the length of a young whale? (Use 1 month = 30 days. Round your answer to three decimal places.) ________ ft/day (c)If W and t are linearly related, express W in terms of t. (d) What is the daily increase in the weight of a young whale? (Round your answer to three decimal places.) __________tons/day